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Finding the Third Proportional to 70,051 and 149,942

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Solution

The third proportional to 70,051 and 149,942 is: 320,946.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,051 : 149,942 = 149,942 : x
  2. Step 2: Convert to fraction form
    70,051/149,942 = 149,942/x
  3. Step 3: Cross multiply
    70,051x = 149,942 × 149,942
  4. Step 4: Simplify right side
    70,051x = 22,482,603,364
  5. Step 5: Solve for x
    x = 22,482,603,364/70,051
  6. Step 6: Final answer
    x = 320,946.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.